What is the Least Common Multiple of 67802 and 67816?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 67802 and 67816 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67802 and 67816, than apply into the LCM equation.

GCF(67802,67816) = 14
LCM(67802,67816) = ( 67802 × 67816) / 14
LCM(67802,67816) = 4598060432 / 14
LCM(67802,67816) = 328432888

Least Common Multiple (LCM) of 67802 and 67816 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67802 and 67816. First we will calculate the prime factors of 67802 and 67816.

Prime Factorization of 67802

Prime Factorization of 67816

Now multiplying the highest exponent prime factors to calculate the LCM of 67802 and 67816.

LCM(67802,67816) = 2³ × 7² × 29¹ × 167¹ × 173¹
LCM(67802,67816) = 328432888